Y=-2x-5

y=4x+1

How many solutions?

Math Not Geography Sorry.

y = - 2x - 5

y = 4x + 1

This equation has one solution. y = - 3 and x = - 1.

y=-2x-5

substitute - 2x - 5 for y in y = 4x + 1:

y = 4x + 1

-2x - 5 = 4x + 1

-2x - 5 + - 4x = 4x + 1 + - 4x

-6x - 5 = 1

-6x - 5 + 5 = 1 + 5

-6x = 6

(Divide both sides by - 6)

x = - 1

substitute - 1 for x in y = - 2x - 5

y = - 2x - 5

y = (-2) (-1) - 5

y = - 3